Are you ready
Let's try this problem to help us remember how to locate a fraction on a number line .
Examples
Example 1
Plot \dfrac{1}{10} on the number line.
When plotting a fraction on a number line:
the denominator (bottom number) shows how many parts there should be between each whole number.
the numerator (top number) shows the number of parts to move to the right from the previous whole number.
Fractions on a number line
Let's look at how to plot fractions on a number line.
Examples
Example 2
Plot \dfrac{4}{3} on the number line.
The denominator shows how many parts make the whole.
The numerator is the number of parts within this fraction.
A mixed fraction includes a whole number and a fraction.
Compare unit fractions on a number line
This video shows how to compare unit fractions on a number line.
Examples
Example 3
Think about the fractions \dfrac{1}{8} and \dfrac{1}{10}.
Plot the number \dfrac{1}{8} on the number line.
Plot \dfrac{1}{10} on the number line.
The two numbers can be shown on the same number line like this:
Which number is smaller?
To plot a proper fraction on a number line:
Start the number line at 0 and end it at 1.
Divide the number line into the number of parts equal to the denominator.
From 0, count to the right the number of parts equal to the numerator.
Plot the point.
To compare fractions on a number line, the fraction furthest to the right is the largest.